Admission to a baseball game is $4.50 for general admission and $7.00 for reserve seats. The receipts were $5694 for 1112 paid admissions.How many of each ticket were sold?

**x = number of reserve tickets**

1112 - x = number of general admission tickets{a total of 1112 tickets were sold}

1112 - x = number of general admission tickets

4.5(1112 - x) + 7x = 5694 {value of ticket times number of tickets equals total value}

5004 - 4.5x + 7x = 5694 {used distributive property}

5004 + 2.5x = 5694 {combined like terms}

2.5x = 690 {subtracted 5004 from each side}

x = 276 {divided each side by 2.5}

1112 - x = 836 {substituted 276, in for x, into 1112 - x}

**276 reserve tickets**

836 general admission tickets

836 general admission tickets

*- Algebra House*